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Finding the Third Proportional to 48,476 and 103,864

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Solution

The third proportional to 48,476 and 103,864 is: 222,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476 : 103,864 = 103,864 : x
  2. Step 2: Convert to fraction form
    48,476/103,864 = 103,864/x
  3. Step 3: Cross multiply
    48,476x = 103,864 × 103,864
  4. Step 4: Simplify right side
    48,476x = 10,787,730,496
  5. Step 5: Solve for x
    x = 10,787,730,496/48,476
  6. Step 6: Final answer
    x = 222,537.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.